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A circular opaque disk, 25 cm in diameter, is set up 30 cm from a circular source of light of diameter 40 cm. A screen is placed 30 cm beyond the opaque disk. Describe, giving dimensions, the nature of the shadow on the screen
Well, well, well! Looks like we have a shadow play going on here! Let me help you envision it.
First, we have our spotlight - the circular source of light with a diameter of 40 cm. It's like the sun of our shadow universe, shining all its glory!
Then comes our little star, the circular opaque disk with a diameter of 25 cm. It's like a tiny planet trying to hide from the luminous giant!
Now, let's bring in the screen, which is placed 30 cm beyond the opaque disk. Picture it as the canvas where the shadow will cast its beautiful art.
So, what's the nature of this shadow? Well, the opaque disk will create a shadow on the screen, but don't expect a complete blackout. Nope, nope, nope!
The shadow will have two parts - an outer part and an inner part. The outer part will be like a dimmer extension of the opaque disk's shape, measuring 25 cm in diameter. It's like the outer boundary of the shadow trying to reach for the spotlight's glory.
As for the inner part, it will have a diameter of 15 cm. This is because the opaque disk partially blocks the light from the source. It's like a secret shadow within a shadow, hiding its true potential.
And there you have it - the nature of the shadow on the screen, with the outer part measuring 25 cm in diameter and the inner part measuring 15 cm in diameter. Now go forth and embrace the shadow play!
To describe the nature of the shadow on the screen, let's break it down step by step.
Step 1: Calculate the dimensions of the shadow area.
The diameter of the opaque disk is given as 25 cm, and it is set up 30 cm from the circular source of light, which has a diameter of 40 cm.
Since the opaque disk is smaller than the light source, the shadow area will be determined by the diameter of the opaque disk.
The shadow cast by the opaque disk will have the same diameter as the disk itself, which is 25 cm.
Step 2: Determine the position of the shadow on the screen.
The screen is placed 30 cm beyond the opaque disk. This means that the center of the shadow will also be shifted by 30 cm because the light does not pass through the center of the opaque disk.
Step 3: Analyze the shadow's properties.
Since the light source is larger than the opaque disk and the disk is opaque, the shadow cast on the screen will be a partial shadow (partially blocking the light). The shape of the shadow will resemble a circular area with a darker central region and a lighter outer region.
The diameter of the shadow will be equal to the diameter of the opaque disk, which is 25 cm. The position of the shadow on the screen will be shifted by 30 cm from the center of the opaque disk towards the light source.
The exact dimensions of the shadow on the screen will depend on the size and shape of the light source and the opaque disk. However, based on the given information, we can determine that the shadow will have a diameter of 25 cm and will be offset 30 cm from the center of the opaque disk towards the light source on the screen.